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Finding the Fourth Proportional to 23,487.68, 32,413.04 and 12,877.76

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Solution

The fourth proportional to 23,487.68, 32,413.04 and 12,877.76 is: 17,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487.68 : 32,413.04 = 12,877.76 : x
  2. Step 2: Convert to fraction form
    23,487.68/32,413.04 = 12,877.76/x
  3. Step 3: Cross multiply
    23,487.68x = 32,413.04 × 12,877.76
  4. Step 4: Simplify right side
    23,487.68x = 417,407,349.99
  5. Step 5: Solve for x
    x = 417,407,349.99/23,487.68
  6. Step 6: Final answer
    x = 17,771.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.